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Ludmilka [50]
3 years ago
13

PLEASE HELP!!! WILL GIVE BRAINLIEST!!!

Mathematics
1 answer:
777dan777 [17]3 years ago
4 0

Answer: (2,2) and (-5,16)

Step-by-step explanation:

Here we have both Line (Linear Function) and Parabola (Quadratic Function)

So I am gonna write these equations here,

y=x^2+x-4\\y=-2x+6

The first equation has Parabola graph (Since it's second degree.)

and the second equation has line graph.

To find the intersection, you have to substitute either -2x+6 in first equation (Quadratic) or x^2+x-4 in second equation (Linear)

For me, I am going to substitute x^2+x-4 in y=-2x+6.

x^2+x-4=-2x+6

Now solve the equation and find the value of x.

Since it's Quadratic Equation (Because there's x^2) I'd move -2x+6 to the left side.

x^2+x-4+2x-6=0 Finish things here (Subtract and Addition)

x^2+3x-10=0 What two numbers multiply to 10? Find the factors of 10, that are [1 and 10] and [2 and 5]

Now think about it, do you think that if 1 and 10 subtract or even addition, do you think that it'd be 3? No, of course not.

So 2 and 5 is right.

(x-2)(x+5)=0 (5-2 = 3) and (5*(-2) = -10)

Then we get both x, x=2,-5

However, this is not it. You have to substitute both x in Linear Equation.

Substitute x = 2 in y=-2x+6

y=-2(2)+6\\y=-4+6\\y=2

Order = (2,2)

Then substitute x = -5 in y=-2x+6

y=-2(-5)+6\\y=10+6\\y=16

Order = (-5,16)

So the intersections are both (2,2) and (-5,16) as shown in graph below.

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2 You hang two strands of Decorative light strand one change color every 30 seconds straight to change every 45 seconds both str
mestny [16]

The two strands of Decorative light will shine at same time after every 15 seconds.

<h3>What is defined as the Highest common factor?</h3>
  • The greatest of all their common factors is the Highest Common Factor (HCF) of more than one number.
  • As a result, it is also known as the greatest common factor (GCF).
  • There isn't an exact formula for determining the greatest common factor of two numbers.
  • However, when considering prime factorization, we can write a statement that aids in evaluating the greatest common factor of more than one number.

The stated condition are-

The light strand one change color every 30 seconds.

The light strand second change color every 45 seconds.

Prime factorization of both number are;

30 = 2×3×5

45 = 3×3×5

The numbers with highest power are;

HCF(30, 45) = 3×5 = 15.

Thus, the time after which both the light strands will change colour at the same time is 15 seconds.

To know more about Highest common factor, here

brainly.com/question/219464

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8 0
1 year ago
Remi invests £600 for 5 years in a savings account.
Daniel [21]

Answer:

225600

Step-by-step explanation:

Simple interest formula:

A = P(1 + rt)

A = final amount

P = initial principal balance

r = annual interest rate

t = time (in years)

So...

A = 600(1 +(75 x 5) )

75 x 5 = 375

1 + 375 = 376

600 x 376 = 225600

A = 225600

6 0
3 years ago
There are 25 players in a ping-pong tournament. Each player plays every other player exactly once. How many games will be played
Aleonysh [2.5K]
This is a round robin style tournament. Given that there are 25 people, and order doesn't matter meaning that the combination AB is equivalent to BA you must use the choose formula. 

Thus the answer should be 25C2 or
<em>25! / [(25-2)! * 2!] = 300</em>
4 0
3 years ago
27x 5 + 9x 4 - 18x 3) 9x 2
notka56 [123]
In guessing it's 2,106.......
4 0
3 years ago
Simplify. 14+4(12−34)2 Enter your answer in the box.
Komok [63]
14 + 8(12-34)

14 + 8(-22)
14 - 176

- 162 is your answer

hope this helps
5 0
2 years ago
Read 2 more answers
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